Answer:
Step-by-step explanation:
12a)To rationalize the denominator, multiply the denominator and numerator by √5.

b) (a+b)² = a² + 2ab + b²
(1 +√3)² = 1² + 2*1*√3 + (√3)²
= 1 + 2√3 + 3
= 4 + 2√3
a = 4 ; b =2
13) (a + b)(a - b) = a² - b²

The gcf of these two numbers is 1, because 189 and 200 don't have any common factors.
Answer:
6.67
Step-by-step explanation:
Because in the park there are 30 people OK
15 were walking
7 were playing
6 were running.
15 + 7 + 6=28
Meaning there are still 2 people left so that is 6.67 =% of the people.
Hope it helps have a great afternoon:)
Because accepting credit cards cost the business small transaction fees. These businesses already have a paper thin profit margin, meaning if you buy less than $10 and use credit card, their profit is little to non-existent.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

_____
If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.